Details

analyze8.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample640.0ms (69.2%)

Results

626.0ms

8256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess18.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	80	7
9	83	7
10	84	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	80	7
9	83	7
10	84	7

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))

series4.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

2.0ms	(/.f64 x (-.f64 1 x))	x	0
1.0ms	(/.f64 x (-.f64 1 x))	x	inf
1.0ms	(/.f64 x (-.f64 1 x))	x	-inf

rewrite36.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
257×	`log-prod_binary64`
150×	`prod-diff_binary64`
96×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1468	7

Stop Event

1×	node limit

Counts

1 → 39

simplify33.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
517×	`associate-l_binary64`
362×	`associate-r_binary64`
335×	`fma-def_binary64`
180×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	72	132
2	208	125
3	605	125
4	1753	125
5	4763	125

Stop Event

1×	node limit

Counts

51 → 53

prune26.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Alt Table

Status	Error	Program
▶	30.3b	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 563 to 391 computations (30.6% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))

series3.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))	x	-inf
1.0ms	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))	x	inf
1.0ms	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))	x	0

rewrite31.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`
333×	`unpow-prod-down_binary64`
250×	`log-prod_binary64`
139×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	112	12
2	1266	12

Stop Event

1×	node limit

Counts

1 → 25

simplify40.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-def_binary64`
556×	`associate-l_binary64`
416×	`associate-r_binary64`
329×	`distribute-rgt-in_binary64`
200×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	138
1	40	124
2	102	103
3	249	103
4	931	103
5	3924	103
6	4456	103
7	4930	103

Stop Event

1×	node limit

Counts

37 → 37

prune14.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Alt Table

Status	Error	Program
✓	30.3b	(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 439 to 201 computations (54.2% saved)

regimes16.0ms (1.7%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Counts

8 → 1

Compiler

Compiled 112 to 66 computations (41.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	15	7
4	16	7

Stop Event

1×

saturated

end36.0ms (3.9%)

Stop Event

1×

done

Compiler

Compiled 28 to 17 computations (39.3% saved)

Details

analyze8.0ms (0.8%)

sample640.0ms (69.2%)

preprocess18.0ms (1.9%)

simplify8.0ms (0.8%)

prune1.0ms (0.2%)

localize3.0ms (0.3%)

series4.0ms (0.4%)

rewrite36.0ms (3.9%)

simplify33.0ms (3.6%)

prune26.0ms (2.8%)

localize6.0ms (0.6%)

series3.0ms (0.3%)

rewrite31.0ms (3.4%)

simplify40.0ms (4.4%)

prune14.0ms (1.5%)

regimes16.0ms (1.7%)

simplify2.0ms (0.2%)

end36.0ms (3.9%)

Profiling